[Feature Request] REST Client As A Shared Run Config

I wrote my own rest client to test out certain parts of my application and checked in a Run Config to share with the rest of the team.
To my chargrin, I only just noticed that IDEA has a REST Client built in!

However, it can't be shared as a Run Config.
I want to be able to store host/port, path and request parameters and share it with the team.

Does that seem like a reasonable request?